Answer:
<h3><u>Firs</u><u>t</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 50
The opposite is 25
So we have
sin ? = 25 / 50
sin ? = 1/2
? = sin-¹ 1/2
<h2>? = 30°</h2>
<h3><u>Sec</u><u>ond</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 8
the adjacent is 33
So we have
tan ? = 8/33
? = tan-¹ 8/33
? = 13.62
<h3>? = 14° to the nearest degree</h3>
Hope this helps you
Answer:
the greatest common factor 12 and 32 is 4
hope it helps!
The coordinates would be multiplied by 3, as the scale factor is 3, and it is a dilation, so we know the size increases.
Answer:
-6 ≤ x ≤ 16
Step-by-step explanation:
First, apply absolute value rule:
x - 5 ≤ 11 and x - 5 ≥ -11
Then, we add 5 on both sides with both inequalities:
x ≤ 16 and x ≥ -6
Finally, combine the inequalities:
-6 ≤ x ≤ 16
And we're done ^^
